axiom of infinity

axiom asserting that the set of natural numbers exists
rdfs:label
"axiom of infinity"@en
skos:altLabel
"gwireb yr anfeidredd"@cy
schema:description
"axiom asserting that the set of natural numbers exists"@en
schema:dateModified "2025-12-29T10:49:41+00:00"^^xsd:dateTime
schema:version 2448558197
wikibase:identifiers 10
wikibase:sitelinks 22
wikibase:statements 15
p:P12888 wd:statement/Q920450-ee2041a6-47a3-da4c-fcbe-10b820773380
p:P1417 wd:statement/Q920450-3493A77F-D0CB-4DA9-851C-DE7E3737123C
p:P2534 wd:statement/Q920450-0bce6639-4bbd-99da-3259-cc36419e78c0
p:P2579 wd:statement/Q920450-d22a013b-426d-d112-584e-329f54e5ca6e
p:P2812 wd:statement/Q920450-49D65745-C37B-463E-9AB2-FFC0A32E714C
p:P31 wd:statement/Q920450-fc35e864-471e-72eb-badd-111fb1d6f19a
p:P3235 wd:statement/Q920450-E16A7FC9-E5E1-4D33-BA2C-1EC3E1C69E33
p:P361 wd:statement/Q920450-6DE42FC3-88BB-41CC-8B0D-77ED15AE3F4B
p:P3827 wd:statement/Q920450-ADD3025C-CBFF-4F24-AC7C-45ADD8606A1D
p:P4215 wd:statement/Q920450-143563A8-2D6C-4979-9C98-7C4D59678451
p:P6104 wd:statement/Q920450-AD42E647-E519-439F-A037-FBE8EDF03961
p:P6366 wd:statement/Q920450-6FB1A46B-13A3-4C10-87B2-57D5E85D02F3
p:P646 wd:statement/Q920450-37B755F4-E9FC-4E24-B198-5CE916B274BD
p:P6781 wd:statement/Q920450-624c1fa5-4403-1b00-59d0-2141f0932570
p:P7726 wd:statement/Q920450-ba35f654-4e61-e79d-b5d3-26988956d0ed
p:direct-normalized/P6366 <https://makg.org/entity/2780907442>
wdt:P12888 "ax-inf"
wdt:P1417 "topic/axiom-of-infinity"
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">&#x2203;</mi><mrow data-mjx-texclass="ORD"><mi>𝐈</mi></mrow><mspace width="0.167em"></mspace><mo stretchy="false">(</mo><mi mathvariant="normal">&#x2205;</mi><mo stretchy="false">&#x2208;</mo><mrow data-mjx-texclass="ORD"><mi>𝐈</mi></mrow><mspace width="0.167em"></mspace><mo stretchy="false">&#x2227;</mo><mspace width="0.167em"></mspace><mi mathvariant="normal">&#x2200;</mi><mi>x</mi><mo stretchy="false">&#x2208;</mo><mrow data-mjx-texclass="ORD"><mi>𝐈</mi></mrow><mspace width="0.167em"></mspace><mo stretchy="false">(</mo><mspace width="0.167em"></mspace><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">&#x222A;</mo><mo fence="false" stretchy="false">{</mo><mi>x</mi><mo fence="false" stretchy="false">}</mo><mo stretchy="false">)</mo><mo stretchy="false">&#x2208;</mo><mrow data-mjx-texclass="ORD"><mi>𝐈</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 Zermelo–Fraenkel set theory
wdt:P2812 "AxiomofInfinity"
wdt:P31 axiom of set theory
wdt:P3235 "the-axiom-of-infinity"
wdt:P361 list of axioms
wdt:P3827 "axiom-of-infinity"
wdt:P4215 "axiom of infinity"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "2780907442"
wdt:P646 "/m/01knr9"
wdt:P6781 "Axiom:Axiom_of_Infinity"
wdt:P7726 "AxiomOfInfinity"
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